Combine yogurt, milk, vanilla, and agave in a bowl or blender and combine fully until uniform. Carefully swirl jam in to create ribbons of jam without fully incorporating it.
Slice strawberries and add a few slices into each cavity of popsicle mold. Top with cheesecake mixture until each cavity is roughly 7/8ths full. Top with lid and insert popsicle sticks, so that about an inch of the stick remains sticking out.
Freeze for at least 6 hours, preferably 10+. To remove from molds, run under hot water to loosen the pops and then remove and enjoy! Store leftovers in the freezer.